Following the proof of [1]}, we have
\(I_1(p)&\le -c \int _{B_{8r}} \int _{B_{6r}} |x-y|^{-N-s_1p} \bigg |\log \left(\frac{\bar{u}(x)}{\bar{u}(y)}\right)\bigg |^p dxdy + c \int _{B_{8r}} \int _{B_{8r}} \frac{|\phi (x)-\phi (y)|^p}{|x-y|^{N+s_1p}} dxdy \\&\le -c \int _{B_{8r}} \int _{B_{6r}} |x-y|^{-N-s_1p} \bigg |\log \left(\frac{\bar{u}(x)}{\bar{u}(y)}\right)\bigg |^p dxdy + c r^{N-s_1p}.\) 
